Question

Solve with elimination and substitution method with working please help me out ASAP

2x+3y=5
2x+7y=9

Answer 1

The answer is x=1 and y=1

Explanation:

Multiply the second equation by -1, then add the equations together.

(2x+3y=5)

−1(2x+7y=9)

Becomes:

2x+3y=5

−2x−7y=−9

Add these equations to eliminate x:

−4y=−4

Then solve−4y=−4for y:

−4y=−4 Divide -4

`(-4y)/(-4)= (-4)/(-4)`

y=1

Now that we've found y let's plug it back in to solve for x.

Here's was the original equation:

2x+3y=5

Substitute 1 for y in 2x+3y=5:

2x+(3)(1)=5

2x+3=5

2x+3+−3=5+−3 ( Add -3 on both sides)

2x=2 Divide by 2

`(2x)/(2) =(2)/(2)`

x=1